Happens to me. Distraction is the first cure, I fall asleep all the time with the tv on. A good book or something else to take your mind off it will help.

The second is melatonin. Help yourself sleep. It'll replace that feeling of full and satiation you normally have. After a few days, you'll be used to it.

This is why I eat only at night. I sleep better with some food in me and cant sleep while hungry. Try fasting during the day if the night time fast doesnt work for you.